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Finding the Fourth Proportional to 1,775.22, 2,647.31 and 1,733.31

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Solution

The fourth proportional to 1,775.22, 2,647.31 and 1,733.31 is: 2,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.22 : 2,647.31 = 1,733.31 : x
  2. Step 2: Convert to fraction form
    1,775.22/2,647.31 = 1,733.31/x
  3. Step 3: Cross multiply
    1,775.22x = 2,647.31 × 1,733.31
  4. Step 4: Simplify right side
    1,775.22x = 4,588,600.23
  5. Step 5: Solve for x
    x = 4,588,600.23/1,775.22
  6. Step 6: Final answer
    x = 2,584.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.